D-optimal designs

被引:315
作者
deAguiar, PF
Bourguignon, B
Khots, MS
Massart, DL
PhanThanLuu, R
机构
[1] FREE UNIV BRUSSELS, FARMACEUT INST, CHEMOAC, B-1090 BRUSSELS, BELGIUM
[2] UNIV AIX MARSEILLE 3, LAB METHODOL RECH EXPTL, CTR ST JEROME, F-13397 MARSEILLE 20, FRANCE
关键词
algorithms; experimental design; D-optimal design; optimisation;
D O I
10.1016/0169-7439(94)00076-X
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Many classical symmetrical designs have desirable characteristics, one of which is called D-optimality. The D-optimality concept can also be applied to select a design when the classical symmetrical designs cannot be used, such as when the experimental region is not regular in shape, when the number of experiments chosen by a classical design is too large or when one wants to apply models that deviate from the usual first or second order ones. The D-optimality concept is developed and it is also explained that D-optimality is only one possible criterion to choose a particular design. A few other criteria are also given that complement the information obtained by the D-criterion.
引用
收藏
页码:199 / 210
页数:12
相关论文
共 31 条
[1]  
Atkinson A. C., 1992, OPTIMUM EXPT DESIGNS
[2]   OPTIMIZATION IN IRREGULARLY SHAPED REGIONS - PH AND SOLVENT STRENGTH IN REVERSED-PHASE HIGH-PERFORMANCE LIQUID-CHROMATOGRAPHY SEPARATIONS [J].
BOURGUIGNON, B ;
DEAGUIAR, PF ;
KHOTS, MS ;
MASSART, DL .
ANALYTICAL CHEMISTRY, 1994, 66 (06) :893-904
[3]   SIMULTANEOUS-OPTIMIZATION OF PH AND ORGANIC MODIFIER CONTENT OF THE MOBILE PHASE FOR THE SEPARATION OF CHLOROPHENOLS USING A DOEHLERT DESIGN [J].
BOURGUIGNON, B ;
MARCENAC, F ;
KELLER, HR ;
DEAGUIAR, PF ;
MASSART, DL .
JOURNAL OF CHROMATOGRAPHY, 1993, 628 (02) :171-189
[4]   APPLICATION OF NONLINEAR-REGRESSION FUNCTIONS FOR THE MODELING OF RETENTION IN REVERSED-PHASE LC [J].
BOURGUIGNON, B ;
DEAGUIAR, PF ;
THORRE, K ;
MASSART, DL .
JOURNAL OF CHROMATOGRAPHIC SCIENCE, 1994, 32 (04) :144-152
[5]  
CARLSON R, 1992, DESIGN OPTIMIZATION, pCH7
[6]   A COMPARISON OF ALGORITHMS FOR CONSTRUCTING EXACT D-OPTIMAL DESIGNS [J].
COOK, RD ;
NACHTSHEIM, CJ .
TECHNOMETRICS, 1980, 22 (03) :315-324
[7]   GRADIENT ELUTION IN HIGH-PERFORMANCE LIQUID-CHROMATOGRAPHY .2. PRACTICAL APPLICATION TO REVERSED-PHASE SYSTEMS [J].
DOLAN, JW ;
GANT, JR ;
SNYDER, LR .
JOURNAL OF CHROMATOGRAPHY, 1979, 165 (01) :31-58
[8]   ON THE EFFICIENCY OF EXPERIMENTAL DESIGNS [J].
EHRENFELD, S .
ANNALS OF MATHEMATICAL STATISTICS, 1955, 26 (02) :247-255
[9]  
Fedorov V. V., 1972, THEORY OPTIMAL EXPT
[10]   TIME-SAVING AND SPACE-SAVING COMPUTER METHODS, RELATED TO MITCHELL DETMAX, FOR FINDING D-OPTIMUM DESIGNS [J].
GALIL, Z ;
KIEFER, J .
TECHNOMETRICS, 1980, 22 (03) :301-313